What is the Least Common Multiple of 92540 and 92546?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92540 and 92546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92540 and 92546, than apply into the LCM equation.

GCF(92540,92546) = 2
LCM(92540,92546) = ( 92540 × 92546) / 2
LCM(92540,92546) = 8564206840 / 2
LCM(92540,92546) = 4282103420

Least Common Multiple (LCM) of 92540 and 92546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92540 and 92546. First we will calculate the prime factors of 92540 and 92546.

Prime Factorization of 92540

Prime Factorization of 92546

Now multiplying the highest exponent prime factors to calculate the LCM of 92540 and 92546.

LCM(92540,92546) = 2² × 5¹ × 7¹ × 661¹ × 46273¹
LCM(92540,92546) = 4282103420